1. A jogger's velocity is given by the table and graph below. t v(t) 1.500 3- mph 3+ y=v(t) y=v(t) 2 EEE hrs hrs 2 1 2 right endpoints for heights 2- mph 0.00 0.25 0.50 0.75 1.00 1.25 1.938 1.992 2.000 2.008 1.789 1 1.50 1.75 2.00 2.063 2.211 2.500 left endpoints for heights 3 2 mph y=v(t) 1 hrs 2 midpoints for heights (a) Draw four equal-width rectangles from t = 0 to t = 2 with left, right, and midpoints for their heights. (b) Estimate the area under the graph of v from t = 0 to t = 2 using four rectangles with left, right, and midpoints for their heights, i.e., find L₁, R₁, and M₁. Which one is an underestimate? An overestimate?
1. A jogger's velocity is given by the table and graph below. t v(t) 1.500 3- mph 3+ y=v(t) y=v(t) 2 EEE hrs hrs 2 1 2 right endpoints for heights 2- mph 0.00 0.25 0.50 0.75 1.00 1.25 1.938 1.992 2.000 2.008 1.789 1 1.50 1.75 2.00 2.063 2.211 2.500 left endpoints for heights 3 2 mph y=v(t) 1 hrs 2 midpoints for heights (a) Draw four equal-width rectangles from t = 0 to t = 2 with left, right, and midpoints for their heights. (b) Estimate the area under the graph of v from t = 0 to t = 2 using four rectangles with left, right, and midpoints for their heights, i.e., find L₁, R₁, and M₁. Which one is an underestimate? An overestimate?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can you do a and b please
Transcribed Image Text:1. A jogger's velocity is given by the table and graph below.
t
v(t) 1.500
3-
2-
mph
3+
y=v(t)
y=v(t)
2
EEE
hrs
hrs
2
1
2
right endpoints for heights
mph
0.00 0.25 0.50 0.75 1.00 1.25
1.938 1.992 2.000 2.008
1.789
1
1.50 1.75
2.00
2.063 2.211 2.500
left endpoints for heights
3
2
mph
y=v(t)
1
hrs
2
midpoints for heights
(a) Draw four equal-width rectangles from t = 0 to t = 2 with left, right, and midpoints for their heights.
(b) Estimate the area under the graph of v from t = 0 to t = 2 using four rectangles with left, right, and
midpoints for their heights, i.e., find L₁, R₁, and M₁. Which one is an underestimate? An overestimate?
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